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Finding the Fourth Proportional to 11,456.25, 15,809.59 and 6,980.00

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Solution

The fourth proportional to 11,456.25, 15,809.59 and 6,980.00 is: 9,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.25 : 15,809.59 = 6,980.00 : x
  2. Step 2: Convert to fraction form
    11,456.25/15,809.59 = 6,980.00/x
  3. Step 3: Cross multiply
    11,456.25x = 15,809.59 × 6,980.00
  4. Step 4: Simplify right side
    11,456.25x = 110,350,859.15
  5. Step 5: Solve for x
    x = 110,350,859.15/11,456.25
  6. Step 6: Final answer
    x = 9,632.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.